2961982296 has 256 divisors, whose sum is σ = 10455244800. Its totient is φ = 755827200.

The previous prime is 2961982279. The next prime is 2961982337. The reversal of 2961982296 is 6922891692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606906 + ... + 611766.

It is an arithmetic number, because the mean of its divisors is an integer number (40840800).

Almost surely, 2^2961982296 is an apocalyptic number.

2961982296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961982296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227622400).

2961982296 is an abundant number, since it is smaller than the sum of its proper divisors (7493262504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2961982296 is a wasteful number, since it uses less digits than its factorization.

2961982296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4917 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 2961982296 is about 54424.0966484516. The cubic root of 2961982296 is about 1436.1313171501.

The spelling of 2961982296 in words is "two billion, nine hundred sixty-one million, nine hundred eighty-two thousand, two hundred ninety-six".